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Finding the Fourth Proportional to 3,436.86, 5,155.26 and 839.80

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Solution

The fourth proportional to 3,436.86, 5,155.26 and 839.80 is: 1,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.86 : 5,155.26 = 839.80 : x
  2. Step 2: Convert to fraction form
    3,436.86/5,155.26 = 839.80/x
  3. Step 3: Cross multiply
    3,436.86x = 5,155.26 × 839.80
  4. Step 4: Simplify right side
    3,436.86x = 4,329,387.35
  5. Step 5: Solve for x
    x = 4,329,387.35/3,436.86
  6. Step 6: Final answer
    x = 1,259.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.